5.To be more precise, 〈Ms⋅μ0〉r0 should better be written as 〈M⋅μ0〉sr0 to indicate the conditional average of the correlation function over a sphere centered at the position of the dipole μ0. Similarly for correlation function in expression (2a).

13.The spherical volumes must be sufficiently large such that any increase in the volume results in negligible change in the phenomenological coefficients.20 Refs. 3, 4, and 6 use the correlation function 〈Ms⋅μ0〉r0 for the linear case. Refs. 2–4, 8, 9, and 11 use expression (2a) for the nonlinear case.

14.

14.The geometry used by Matyushov seems to be that of media confined to lie between parallel plates perpendicular to the z-axis. If so, the integrated quantities 〈M3M3〉 and 〈M3M3M3M3〉 do not have spherical symmetry.

15.

15.R. L. Fulton, J. Chem. Phys.130, 204503(2009); the expression for the coefficienta in Equation (3) inadvertently has the wrong sign.